Exact design-to-coordinate derivative

Understand the Exact design-to-coordinate derivative relationship used by Shape Optimization.

Where to find it

Shape Optimization → equations

How to use it

Compare the terms, signs and units with your intended physical assumptions before choosing model inputs.

Result

Equation: \frac{\partial\mathbf x}{\partial\mathbf c_\Gamma}=\mathbf P_{\mathrm{ALE}}\mathbf P_{\mathrm{filter}}.

Troubleshooting

The equation describes the model assumptions; it is not a separate editable boundary condition. Check the parent physics page for setup and limitations.